A moving van has an interior height of 7 feet 9 (84in). You have boxes in 12 inch and 15 inch heights, and want to stack them as high as possible to fit. Write an inequality that represents this situation

Answers

Answer 1
The inequality is 12x+15y<=84 
x is number of 12 inch boxes 
y is number of 15 inch boxes 

Hope this helps :)
Answer 2
Final answer:

To represent this situation, we create the inequality 12x + 15y ≤ 84, where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes stacked.

Explanation:

To represent this situation, we can create an inequality based on the height of the moving van and the heights of the boxes. Let's define variables for the number of 12 inch boxes and 15 inch boxes stacked. Since we want to stack them as high as possible, we want the sum of the heights to be less than or equal to the interior height of the van:

12x + 15y ≤ 84

where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes.

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Related Questions

The number 9 has only one prime factor, 3. What is another number less than 50 with only one prime factor?

Answers

There is 15. 5x3=15 but nothing else equals 15
The answer is 5 times 3=15

What is this number written in expanded form with multiplication

2.306

Answers

2 times 1   3 times .1   0 times .01    6 times .001
Just look at each place value of every number in the integer.
Final answer:

The number 2.306 can be written in expanded form with multiplication as 2 x 1 + 3 x 0.1 + 0 x 0.01 + 6 x 0.001.

Explanation:

When a number is written in expanded form with multiplication, it means that we break down the number into its individual place values and then multiply each digit by the corresponding place value. For the number 2.306, we can break it down as follows:

2 x 1 + 3 x 0.1 + 0 x 0.01 + 6 x 0.001 = 2 + 0.3 + 0 + 0.006 = 2.306

So, the expanded form of 2.306 with multiplication is 2 x 1 + 3 x 0.1 + 0 x 0.01 + 6 x 0.001.

what's the slope, y intercept, and rate of change of y=2x+5?

Answers

slope: 2
y intercept: 5
rate of change : 2/1

Answer:

Yes it is 5

Step-by-step explanation:

start at 2. create a pattern that adds 2 to each number and then multiplies by 3. stop at 5 numbers

Answers

2,12,42,132,402

Heres how I got the numbers 
2+2=4                 4x3=12
12+2=14             14x3=42
42+2=44             44x3=132
132+2=134 1      34x3=402

I hope this is what you were looking for

A number k increased by 7 is 34

Answers

7 + k = 34 would be the answer :), or k + 7 = 34. Hope I could help you :D

Choose two points in the coordinate plane. Use the slope formula to find the slope of the line that passes through the two points. Then find the slope using the formula y1 - y2 over X1 - x2. Are your results the same? Explain

Answers

No, they are not the same because if you use the slope on a coordinate plane you are using rise over run to find the slope not the slope formula. If you use the slope formula on it you will get a different answer. Hope this helps! 

Mac picked four baskets of blueberries. The weights of the berries in pounds are given below. order the weights from lightest to heaviest: 5/4, 9/10, 4/5, 13/20.

Answers

The numbers ordered from least to greatest are:

13/20, 4/5, 9/10, 5/4

How to order the weights from lightest to heaviest?

Basically, we need to order the numbers:

5/4, 9/10, 4/5, 13/20

From smallest to largest.

An easy way of doing that is write all of these fractions as decimals.

5/4 = 1.25

9/10 = 0.9

4/5 = 0.8

13/20 = 0.65

The order is then:

13/20, 4/5, 9/10, 5/4

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tara made a snack mix with 3/4 cup of rice crackers and 2/3 cup of pretzels. she then ate 5/8 cup of the mix for lunch. how much of the snack mix is left

Answers

First you add 3/4 and 2/3 you but then do 3/4 2/3 you think what the both can go to is 12 the dominator is 12 then you time it by 3,4 because they both go to 12 then the 3 will be time 3 because 4 x 3 = 12 then you do it the top so 3x3 = 9 9/12 then you do the next one is2/3 do the same then will get 8/12 then you can subtract it 9/12 - 8/12 will gave you 1/12
You will have 1/12 is your answer

Explain how to check multiplication using addition and division ñ. Include an example in your explanation.

Answers

Addition/Subtraction and. Multiplication/ Division ... So checking one operation with its opposite is a good way to help verify your answer.
Final answer:

Multiplication can be checked using division and addition by following these steps: multiply two numbers, divide the product by one of the numbers used in multiplication (correct multiplication gives the other number), and validate multiplication using repeated addition (adding one of the numbers as many times as the value of the other number).

Explanation:

You can check multiplication using addition and division by following these steps:

Let's take an example of multiplying two numbers, say, 4 and 5, which equals 20. Then, divide the product with one of the multiplier numbers that you used for multiplication. For instance, when you divide 20 (the product of 4 and 5) by 4, you'll get 5. If you get the other number (that you multiplied with at first), then your multiplication was correct. You can also verify multiplication by using repeated addition. In our example, if you add 4 five times: 4 + 4 + 4 + 4 + 4, you'll get 20, which is the same result as the multiplication problem.

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which is a better buy $4.38 for six pack of lemonade for $5.76 for an 8 pack

Answers

5.76 for 8 packs of lemonade
Actually, the answer is $5.76 for 8
5.76 \ 8 =.72
4.38 \ 6 =.73

melanie has 25.999 ruond to the nearest hunredths?Explain how you found the awnser

Answers

Rounding decimals is very similar to rounding other numbers. If the thousandths place of a decimal is four or less, it is dropped and the hundredths place does not change. For example, rounding 0.843 to the nearest hundredth would give 0.84.

If the thousandths place is five through nine, the hundredths place is increased by one. The decimal 0.846 rounded to the nearest hundredth is 0.85.

So for your case 25.999 rounded to the nearest hundredths would be 26.

Hope this helps :)

Final answer:

To round 25.999 to the nearest hundredths, the rounded answer is 26.

Explanation:

To round 25.999 to the nearest hundredths, we need to look at the digit in the thousandths place which is '9'. Since '9' is greater than or equal to 5, we will round up the digit in the hundredths place by adding 1. Therefore, the number 25.999 rounded to the nearest hundredths is 26.

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Six bakers use a total of 12x - 3.6 pounds of flour each hour. If each baker uses the same amount of flour, find an expression for the number of pounds each baker uses in an hour. Then write an expression equivalent to 12x - 3.6 to represent the total hour used in an hour.

Answers

Final answer:

Each baker uses (12x - 3.6) / 6 pounds of flour in an hour. The expression equivalent to 12x - 3.6 to represent the total flour used in an hour is 12x - 3.6 pounds.

Explanation:

To find an expression for the number of pounds each baker uses in an hour, we divide the total amount of flour (12x - 3.6 pounds) by the number of bakers (6). Therefore, each baker uses (12x - 3.6) / 6 pounds of flour in an hour.

To write an expression equivalent to 12x - 3.6 to represent the total flour used in an hour, we can simply use 12x - 3.6 pounds, as this already represents the total amount of flour consumed by all the bakers in one hour.

Final answer:

Each baker uses 2x - 0.6 pounds of flour each hour. The expression 12x - 3.6 represents the total flour used by all bakers in an hour, so it's already the equivalent expression needed.

Explanation:

If six bakers use a total of 12x - 3.6 pounds of flour each hour, and each baker uses the same amount of flour, we need to divide the total amount of flour by the number of bakers to find how much flour each baker uses per hour.

Amount of flour per baker per hour = Total flour used / Number of bakers

= (12x - 3.6) / 6

By simplifying this expression, we divide each term in the numerator by 6:

= 12x/6 - 3.6/6

= 2x - 0.6

So, each baker uses 2x - 0.6 pounds of flour each hour.

To represent the total hour used in an hour with an equivalent expression, we can simply rewrite the original expression, as it already represents the total amount of flour used by all bakers in an hour. Thus, the expression equivalent to 12x - 3.6 is already the total amount used in an hour.

The bicycle rental shop charges a fee of $6 It also charges $3 per hour that the bike is out if you rented the bike for h hours what expression describes the cost of renting the bicycle

Answers

Final answer:

The cost of renting a bicycle is expressed as $6 + $3h, which includes a flat fee of $6 plus $3 for each hour the bike is rented.

Explanation:

The cost of renting a bicycle from the rental shop can be described by an algebraic expression that takes into account both the flat fee and the hourly charge. To calculate the total cost, you multiply the number of hours the bike is rented (h) by the hourly rate ($3) and then add the flat fee ($6).

Step-by-Step Calculation

Determine the hourly rental rate: $3 per hour.

Multiply the hourly rate by the number of hours the bike is rented: $3 x h.

Add the flat fee to the hourly charge: $6 + ($3 x h).

Therefore, the expression that describes the cost of renting the bicycle is $6 + $3h.

What is 634 divided by 29

Answers

26.4 that's the answer

21.862069


Any calculator can give you this answer. If you need to use long division, do it normally. The first number you do will equal zero, but that is normal.


mr brust has 50 algebra books.he handouts 2 books every 3 says

Answers

300 is the answer i think im not sure

how to graph this equation 4.5x-.5y=3

Answers

You have to put it into slope-intercept form.

4.5x-0.5y=3

1. Subtract 4.5x from both sides:
-0.5y=-4.5x+3

2. Divide both sides by -0.5 to leave the y variable on one side:
y=9x-6

3. Your linear equation is
y=9x-6

4. Graph (tell me if you need help on graphing!)

What is the relationship between the ratios? 8/11 and 24/33 Drag and drop to complete the statement. are they proportional or non- proportional

Answers

Based on the given ratios above which are 8/11 and 24/33, both ratios can be considered as proportional. The numerators 8 and 24 have the same factor. If you multiply 8 by 3, you get 24. The same with 11 and 33. If you multiply 11 by 3, you get 33. Hope this answers your question.

Answer:

I agree with the person above me

Step-by-step explanation:

A LINE WITH THE SLOPE OF 3/4 PASSES THROUGH (4,9). WHAT IS THE POINT SLOPE EQUATION?

Answers

I hope this helps you slope= 3/4 x'=4 y'=9 slope (x'-x)=y'-y 3/4. (4-x)=9-y 12-3x=36-4y 4y=3x+24 y=3x/4+6

what divided by 7,650 by blank equals 7.65

Answers

7,650 divided by 1,000 equals 7.65.

The number divided by 7,650 by blank equals 7.65 is; 7,650 ÷ 1000 = 7.65

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We need to solve the below expression;

7,650 ÷ ----- = 7.65

Let the blank is x.

7,650 ÷ x = 7.65

Multiplying both sides by 7.65 and cross multiplying :

x = 7,650/7.65

Hence, 7,650 ÷ 1000 = 7.65

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2.25meters long and 1.8meters wide what is the area of the blanket give the answer in centimeters

Answers

The length is 2.25 meters          The width is 1.8 meters
1 meter =100 centimetres                1 meter=100centimeters
2.25 meters=?                                   1.8 meters=?
2.25m/1m*100cm=225cm                 1.8m/1m*100cm=180 cm
The area of this shape is length *width
A=225cm*180cm
A=40500cm²
Therefore the area in centimeters is 40500cm²

The 1 meter contains 100 centimeters therefore the area of the blanket with dimensions 2.25meters long and 1.8meters wide is 40500 cm².

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

As per the given dimension of the blanket,

Length = 2.25 meters and width = 1.8 meters.

Since,1 meter = 100 cm

Length = 2.25× 100 = 225 cm.

Width = 1.8× 100 = 180 cm

The area of the rectangle is Length × width.

Area = 225 × 180

⇒ 40500 cm²

Hence "The 1 meter contains 100 centimeters therefore the area of the blanket with dimensions 2.25meters long and 1.8meters wide is 40500 cm²".

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During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board?

Answers

16 / 8 = 2
2 x 3 = 6
6 black pieces

To find the number of black pieces in a checkers game with a black to red ratio of 3:5 and a total of 16 pieces, you can form and solve an algebraic equation, resulting in 6 black pieces.

To determine the number of black pieces in a checkers game when given the total pieces and the ratio of black to red pieces, you can set up a proportion. With a total of 16 pieces and a ratio of 3:5 black to red, we can use algebra to find the answer. Let's denote the number of black pieces as 'b' and the number of red pieces as 'r'.

According to the ratio, we have b/r = 3/5. We also know that b + r = 16 because the total number of pieces is 16. By cross-multiplying the ratio, we get 5b = 3r. We can substitute r with 16 - b in this equation (from our total) to get: 5b = 3(16 - b).

Solving this, we have: 5b = 48 - 3b which simplifies to 8b = 48. Thus, b = 48/8, which means there are 6 black pieces on the board.

it takes 1 day to repair 100 meter of road.At this rate how many days will it take to repair 1 kilometer of road?

Answers

This is a simple proportion problem.  Assuming that the rate is constant for how fast the person can repair the road, the number of days it takes to repair the road will be exactly 10 days.

1 day to repair 100 meters
? days to repair 1 kilometer

1 kilometer = 1000 meters
Substitute 1000 meters for 1 kilometer

So set up your proportion as so:
1 day/ 100 meters = x / 1 kilometer
1 day / 100 meters = x/ 1000 meters
x = 10 days
1 km = 1000 m

1/100 = x/ 1000...1 day to 100 m = x days to 1000 m
cross multipy
100x = 1000
x = 1000/100
x = 10 days <==

· B__________8cm___________C·
If line BC represents 200% what is the length of a line segment that is 75% explain

Answers

This is really easy, because 8m is 200% you have to divide it in half to figure out the 100% which is 4... now you have to find the 75%. all you have to do is divide 4 by 25% which is 3.
Final answer:

The length of the line segment that is 75% of the line BC is 6 cm.

Explanation:

In this problem, we are given that line BC represents 200% or twice the length of a line segment. Let's say the length of BC is 8 cm. To find the length of a line segment that is 75%, we can use proportion. Since 75% is three-fourths of 100%, the length of the line segment will be three-fourths of the length of BC.

So, the length of the line segment that is 75% is (3/4) * 8 cm = 6 cm.

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Olivia typed 2 pages in 15 minutes. Write an equation relating the number of minutes "m" to the number of pages "p" typed. How long will it take her to type 10 pages at this rate

Answers

I hope this helps you
15m=2p

So, basically since she writes 2p (p=pages) per 15 mins. So, they are asking you for 10 pages.

(10p/2p)x15m=75 min

First you divide 10 pages by 2 and multiply 15x5 and u got ur answer

a scuba diver dives to a depth of 50 feet, sinks 12 feet, then rises 20 feet. what is the diver's final position relative to sea level?

Answers

We can use a number line to help us solve, but I guess "visualizing" it with a vertical number line works too. 

We start at the point 0. We go down to the point -50, after the diver dives down to a depth of 50 feet. "Sink" is to go down, so we go down to -62 because -50-12=-62. "Rise" is to go up, so we go up to -42 because -62+20=-42.

The diver's final position relative to sea level would be at 42 feet.

Is √65 between 6 and 7 on a number line

Answers

no because when you do square root 65 it then equals 8.0622577483.

a bag of apples weighs 3 1/2 pounds how many pounds does 2 1/2 bags weigh

Answers

2.5 bags x 3.5 pounds = 8.75 pounds
1 bag = 3.5 lbs
Represent 1 bag with "x".
x=3.5
so what does 2.5(x) equal?
2.5 * 3.5 = 8.75 lbs

I need help with all the blank ones (15 points)

Answers

6) Sonar 7) Subduction Zone 9) Subduction

What is 56/50 simplified

Answers

When a question wants something simplified, it wants you to basically change the numbers and the top and bottom porportionally. For example 2/4 is the same as 1/2 since 1/2 X 2/2 = 2/4 with 2/2 being 1.

56/50...both top and bottom can be divided by two.

28/25. Neither have any common factor between them to divide by so the fraction is simplified.

Please give brainest answer
56/50 is 28/25 because they both go into each other one time 

28/25 is the answer

Here to help :)

A restaurant used 4 pounds of potatoes during a lunch rush. If they used 5/8 as much beef, how many pounds of beef did they used?

Answers

37/8 or 8 4/5                                        
                       hope this helped                                      
The answer would be 20/8lbs. or 2 1/2lbs.
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